In linear algebra, the trace of a square matrix A, denoted tr (A), [1] is the sum of the elements on its main diagonal, . It is only defined for a square matrix (n × n). The trace of a matrix is the …

The general trace formula provides a means for analyzing some of the relationships. The group G(A) can be written as a direct product of the real group G(R) with the totally disconnected …

Trace formula may refer to: Arthur–Selberg trace formula, also known as invariant trace formula, Jacquet's relative trace formula, simple trace formula, stable trace formula

迹公式 (trace formula)亦称塞尔贝格迹公式，波松求和公式的推广.它是由塞尔贝格 ( Sel- berg , A.)于1956年提出的。 深刻地影响了非交换调和分析、自守形式理论的发展.经过许多数学家多 …

In this section we will explain how the trace formula can be used to prove Weyl's law for compact quotients of the upper half plane which includes the case of any compact Riemann surface of …

为将此对应精确化，不妨令测试函数 f 是 G 上的类函数，经过一系列简单变换，即可证明 Arthur-Selberg 迹公式： 将 f 对于 H 中的 共轭类 加权求和（权，是每个 共轭类 在 G 中的 相对体积 …

2023年12月22日 · The trace formula cries out for competent exposition, as a whole or in part, and for smoother, more direct treatments of a number of issues that Arthur overcame only by …

We can view P as a module over the group ring [G], and take its trace over [G], which takes values in the quotient by the subgroup generatored by commutators. The resulting module has …

This article is an introduction to the Petersson trace formula and Kuznetsov trace formula, both of which are now important, standard techniques in analytic number theory.

Our goal is to compute the trace of 1 ∈ N acting over Λ on the coinvariants of G on P ⊗A M, that is, the number TrΛ (1; (P ⊗A M) G) ∈ Λ♮. rrespond to the